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Finding the Third Proportional to 9,006.75 and 17,196.75

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Solution

The third proportional to 9,006.75 and 17,196.75 is: 32,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.75 : 17,196.75 = 17,196.75 : x
  2. Step 2: Convert to fraction form
    9,006.75/17,196.75 = 17,196.75/x
  3. Step 3: Cross multiply
    9,006.75x = 17,196.75 × 17,196.75
  4. Step 4: Simplify right side
    9,006.75x = 295,728,210.56
  5. Step 5: Solve for x
    x = 295,728,210.56/9,006.75
  6. Step 6: Final answer
    x = 32,834.06

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.